99 Cobra starting/battery issues
Ok here's the problem the car will start fine and can drive it x amount of miles but when I shut it off it may not start. The battery is too weak. I put a newer battery in it. I checked for drains none. I checked alternator at idle no accessories running 13.58 with headlights,radio and air on full blast 12.38. The battery terminals are clean. The alternator feels hot to the touch and when I drive it sometimes jumps around kind of quickly from 1/4 to lil over 1/2. Sorry so much info any help will be greatly appreciated.